Search a number
-
+
22533551040 = 263571113131179
BaseRepresentation
bin10100111111000110…
…101011001111000000
32011011101211222220110
4110333012223033000
5332122042113130
614203552111320
71425255011040
oct247706531700
964141758813
1022533551040
119613669460
12444a535540
132181553470
14113a98b720
158bd3c2ab0
hex53f1ab3c0

22533551040 has 896 divisors, whose sum is σ = 97333125120. Its totient is φ = 4265164800.

The previous prime is 22533551009. The next prime is 22533551077. The reversal of 22533551040 is 4015533522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22533550989 and 22533551007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125885671 + ... + 125885849.

It is an arithmetic number, because the mean of its divisors is an integer number (108630720).

Almost surely, 222533551040 is an apocalyptic number.

22533551040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22533551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48666562560).

22533551040 is an abundant number, since it is smaller than the sum of its proper divisors (74799574080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22533551040 is a wasteful number, since it uses less digits than its factorization.

22533551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 22533551040 in words is "twenty-two billion, five hundred thirty-three million, five hundred fifty-one thousand, forty".